Determine whether each set of measures can be the measures of the sides of a
right triangle. then state whether they form a pythagorean triple.
13. 12, 16, 20
14. 16, 30, 32
15. 14, 48, 50
16.
2 4 6
5' 5' 5
17.2v6,5,7
18. 2v2, 2v7,6

Answers

Answer 1

13. They can, in fact, be the lengths of a right triangle's sides. A Pythagorean  triadic is formed by them.

14. They can, in fact, be the lengths of a right triangle's sides. A Pythagorean  triadic is formed by them.

15.  They can, in fact, be the lengths of a right triangle's sides. A Pythagorean  triadic is formed by them.

 16.They're  unfit to be a right triangle's side  measures. The forecourt of the longest side( 62 =  36) can not be calculated by adding the places of the two  lower sides( 22 42 =  20).

17. They can, in fact, be the lengths of a right triangle's sides. A Pythagorean  triadic is formed by them.

18. They're  unfit to be a right triangle's side  measures.

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Related Questions

Evaluate the integral (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) 3 V x2 +8514 dx = Shule) 32+2). 10/8+) 6 + + *(x+8) corec

Answers

To evaluate the integral ∫(3/(√(x² + 8514))) dx, we can use the substitution u = x² + 8514 and du/dx = 2x, which gives us:

∫(3/(√(x² + 8514))) dx = (3/2)∫(1/√u) du
= (3/2) * 2√u + C
= 3√(x² + 8514) + C

Note that we absorbed the arbitrary constant into C as much as possible.
It seems that your question contains some typos and unclear expressions. However, I can help you evaluate a definite integral that includes fractions and an arbitrary constant.

Consider the integral:

∫(3√(x² + 8514) dx)

To solve this integral, let's perform a substitution:

u = x² + 8514
du = 2x dx

Now, we can rewrite the integral as:

(3/2) ∫(√u du)

Now, we can integrate:

(3/2) ∫(u^(1/2) du) = (3/2) * (2/3) * u^(3/2) + C

Now, substitute u back with the original expression:

(3/2) * (2/3) * (x² + 8514)^(3/2) + C = (x² + 8514)^(3/2) + C

So, the evaluated integral is:

(x^2 + 8514)^(3/2) + C

Where C is the arbitrary constant.

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Please help I need it ASAP, also needs to be rounded to the nearest 10th

Answers

The length of segment BC is given as follows:

BC = 47.2 km.

What is the law of cosines?

The Law of Cosines is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is also known as the Cosine Rule.

The Law of Cosines states that for any triangle with sides a, b, and c and angle C opposite to side c, the following equation holds true:

c² = a² + b² - 2ab cos(C)

The parameters for this problem are given as follows:

a = 27.8, b = 24.7, C = 129.1

Hence the length of segment BC is given as follows:

(BC)² = 27.8² + 24.7² - 2 x 27.8 x 24.7 x cosine of 129.1 degrees

(BC)² = 2249.0497

[tex]BC = \sqrt{2249.0497}[/tex]

BC = 47.2 km.

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Help me please I dont know the value to y

Answers

Answer:

y=9

Step-by-step explanation:

The opposite angles of 2 intersecting lines are equal.

11y-36⁰=63⁰

11y=63⁰+36⁰

11y=99⁰

y=9

Hope this helps!

3x − 15y = 11 in slope intercept form

Answers

Answer:

To convert the equation 3x - 15y = 11 into slope-intercept form, we need to solve for y.

First, we'll subtract 3x from both sides:

-15y = -3x + 11

Next, we'll divide both sides by -15:

y = (3/15)x - (11/15)

Simplifying the fraction:

y = (1/5)x - (11/15)

This is the slope-intercept form, where the slope is 1/5 and the y-intercept is -11/15.

This magic grid contains number sequences that increase in steps. What is the missing number? A 16 B 8 C 4 D 12 E 20​

Answers

Answer:

12

Step-by-step explanation:

The numbers increase by 4 on each row.


in right triangle abc, mzb + m2c. let sinb = r and cos b = s. what is sinc-cosc?

Answers

The value of the trigonometric expression sin c - cos c is: s - r

How to solve Trigonometric Ratios?

The three most common trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We are given that:

sinb = r and cos b = s

Thus, from the diagram attached, we can see that:

sin B = rh/h = r

cos B = sh/h = s

Thus, using trigonometric ratios, we can equally say that:

cos C = rh/h = r

sin C = sh/h = s

Thus:

sin c - cos c = s - r

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Why are rectangles relatable to factors

Answers

Rectangles are relatable to factors because of their areas and perimeter equations

Why are rectangles relatable to factors

From the question, we have the following parameters that can be used in our computation:

Explaining why rectangles are relatable to factors

Rectangles are relatable to factors because of the following reasons

Perimeter = 2 * (Length + width)

Area = Length * width

This means that in calculating the areas and the perimeters of a rectangles, we make use of arithmetic expressions

These arithmetic expressions, when expanded form terms and factors of  expression

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two cards are drawn from a deck of 52 playing cards. the first card is not replace before the 2nd card is drawn. what is the probabilty of drawing a king and another king?

A. 3/676
B. 1/221
C. 1/169
D. 2/169

Answers

Answer:

1/221.

Step-by-step explanation:

Probability(first card is a King) = 4/52 = 1/13 (as there are 4 kings in the pack).

Now there are 51 cards left in the pack, 3 of which are Kings, so:

Probability(second card is a King) = 3/51 = 1/17.

These 2 events are independent so we multiply the probabilities:

Required probability =

1/13 * 1/17

= 1/221.

Earth's distance from the sun is 1. 496 x 108 km. Saturn's distance from the sun is 1. 4246 x 10 km. How many times further from the sun is Saturn? Explain how you arrived at your answer. ​

Answers

Saturn is approximately 9.52 times further from the sun than Earth.

To find out how many times further from the sun Saturn is compared to Earth, we need to divide Saturn's distance from the sun by Earth's distance from the sun.

First, let's correct the distances given:
- Earth's distance from the sun: 1.496 x 10^8 km
- Saturn's distance from the sun: 1.4246 x 10^9 km (I assume you missed the exponent)

Now, let's calculate the ratio:

Ratio = (Saturn's distance) / (Earth's distance)
Ratio = (1.4246 x 10^9 km) / (1.496 x 10^8 km)

To make the calculation easier, let's factor out the common exponent (10^8):

Ratio = (1.4246 x 10) / (1.496)
Ratio ≈ 9.52

So, Saturn is approximately 9.52 times further from the sun than Earth.

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According to these three facts, which statements are true? Circle D has center (2, 3) and radius 7. Circle F is a translation of circle D, 2 units right. Circle F is a dilation of circle D with a scale factor of 4. Select each correct answer. Responses Circle F and circle D are similar. Circle , F, and circle , D, are similar. The radius of circle F is 28. The radius of circle , F, is 28. The center of circle F is (0, 3). The center of circle , F, is , begin ordered pair 0 comma 3 end ordered pair,. Circle F and circle D are congruent. Circle , F, and circle , D, are congruent

Answers

Answer:

The answer to your problem is:

The radius of circle F is 28.

Circle F and circle D are similar.

Step-by-step explanation:

How to find the radius:

A = π × [tex]r^{2}[/tex]

But the radius of a circle from diameter. If you can recall the diameter d, the radius is r = d / 2.

By looking at our facts we can actually see ( if we use the comparing method ) that the circles, F & D are very much similar.

Thus the answer to your problem is:

The radius of circle F is 28.

Circle F and circle D are similar.

What is the area of a regular hexagon with side length of 12. 7 and apothem length of 11?


PLEASE HELP!

Answers

The area of the regular hexagon with a side length of 12.7 and apothem length of 11 is approximately 416.61 square units.

To find the area of a regular hexagon, you can use the formula , where A is the [tex]A =\frac{3\sqrt{3} }{2} (s^{2} )[/tex]area, s is the length of one side, and √3 is the square root of 3.

However, since the apothem length is given, you can also use the formula , where ap is the apothem length and p is the perimeter of the hexagon.

First, let's find the perimeter of the hexagon. Since a hexagon has six sides, the perimeter will be 6 x 12.7 = 76.2.

Next, we can use the apothem length of 11 and the side length of 12.7 to find the length of the radius of the circle inscribed in the hexagon. This is because the apothem is the distance from the center of the hexagon to the midpoint of any side, and the radius is the distance from the center to any vertex.

Using the Pythagorean theorem, we can find the radius:
[tex]r^2 = ap^2 + (\frac{s}{2} )^{2}[/tex]
[tex]r^2 = 11^2 + (\frac{12.2}{7} )^{2}[/tex]
[tex]r^2 = 121 + 40.1225[/tex]
[tex]r^2 = 161.1225[/tex]
[tex]r = \sqrt{161.1225}[/tex]
[tex]r = 12.69[/tex]

Now that we know the radius, we can use the formula for the area of a regular polygon in terms of the radius: A = (1/2) x r x ap x n, where n is the number of sides (which is 6 for a hexagon).

Plugging in the values we have:
[tex]A = \frac{1}{2} (12.69)(11)(6)[/tex]
[tex]A = 416.61[/tex]

Therefore, the area of the regular hexagon with a side length of 12.7 and apothem length of 11 is approximately 416.61 square units.

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Maria records random speeds from three different Internet providers in the table. ProviderDownload Speed (megabits per second)CityNet3. 6, 3. 7, 3. 7, 3. 6, 3. 9Able Cable3. 9, 3. 9, 4. 1, 4. 0, 4. 1Tel-N-Net3. 9, 3. 7, 4. 0, 3. 6, 3. 8 Which company offers the fastest mean downloading speed?    00:00               CityNet    00:00               Able Cable    00:00               Tel-N-Net    00:00               Impossible to determine from the information given​

Answers

Able Cable offers the fastest mean downloading speed among the three providers with a speed of 4.0 Mbps.

How to determine the fastest internet provider?

We can calculate the mean (average) download speed for each provider and compare them to determine which company offers the fastest mean downloading speed.

Based on the given data, the mean download speed for each provider is:

City Net: (3.6 + 3.7 + 3.7 + 3.6 + 3.9) / 5 = 3.7 megabits per second (Mbps)

Able Cable: (3.9 + 3.9 + 4.1 + 4.0 + 4.1) / 5 = 4.0 Mbps

Tel-N-Net: (3.9 + 3.7 + 4.0 + 3.6 + 3.8) / 5 = 3.8 Mbps

Therefore, Able Cable offers the fastest mean downloading speed among the three providers with a speed of 4.0 Mbps.

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What is the circumference of the circle with a radius of 1.5 meters? Approximate using π = 3.14.

9.42 meters
7.07 meters
4.64 meters
4.71 meters

Answers

Answer:

9.42 meters

Step-by-step explanation:

radius= 1.5

double the radius to get the diameter

diameter= 3

to find the circumference the equation is π × d

3.14 × 3= 9.42

circumference= 9.42

Answer: B

The guy above is wrong! The correct answer is 7.07, and I double checked with a circumference calculator.

Step-by-step explanation:

-To find the circumference of a circle, you can use the formula C = πd.

-By using this formula the answer found is 7.07

This is 100% the right answer, trust me.

Brainliest?

Events D and E are independent, with P(D) = 0.6 and P(D and E) = 0.18. Which of the following is true?

(A) P(E) = 0.12
(B) P(E) = 0.4
(C) P(D or E) = 0.28
(D) P(D or E) = 0.72
(E) P(D or E) = 0.9

Answers

The probability that is true is P(D or E) = 0.72.

Option D is the correct answer.

We have,

We can start by using the formula:

P(D and E) = P(D) x P(E)

Since D and E are independent events, their probabilities multiply to give the probability of both events happening together.

Plugging in the given values.

0.18 = 0.6 x P(E)

Solving for P(E).

P(E) = 0.18 / 0.6 = 0.3

So option (A) is not correct.

To find P(D or E), we can use the formula:

P(D or E) = P(D) + P(E) - P(D and E)

Plugging in the given values.

P(D or E) = 0.6 + 0.3 - 0.18 = 0.72

Thus,

P(D or E) = 0.72 is true.

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The monomial -3xy2z(-2x2yz) has degree of:

Answers

The degree of the monomial expression -3xy²z(-2x²yz) is derived to be equal to 8.

What is a monomial

A monomial is a type of algebraic expression that consists of only one term. It is an expression in which the variables and their exponents are multiplied together, with no addition or subtraction involved. The degree of a monomial is the sum of the exponents of its variables.

Given the monomial:

-3xy²z(-2x²yz)

We can simplify it by multiplying the coefficients and adding the exponents of the variables:

-3(-2)x^(2+1) y^(2+1) z^(1+1)

= 6x³y³ z²

Therefore, the degree of the given monomial expression is: 3 + 3 + 2 = 8.

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Calculate the bearing of U from T. U N 32° T

Answers

The bearing of U from T in the image is 32 degrees South by West of T

What is Bearing?

In mathematics, bearings refer to the direction of an object or location in relation to two points. It is determined by the angle between the line joining them and that of the north.

Measured typically in degrees, it follows a cardinal system where 0° or 360° signifies North; East stands for 90°, South denotes at 180° while West represents 270°.

Thus, it can be seen that the bearing of U from T in the image is 32 degrees South by West of T

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data from the bureau of labor statistics reports that the typical manufacturing worker in wisconsin in 1997 earned a weekly salary of $424.20. suppose you wanted to see if this were true just in the far southeastern portion of the state. you obtain a sample of tax returns for manufacturing workers in racine and kenosha for the year 1997. your sample consists of 54 workers and has a mean weekly salary of $432.69 with a standard deviation of $33.90 at a 90% confidence level test the claim that manufacturing workers in racine and kenosha had the same salary as workers across the state. what will be your critical value?

Answers

The critical value for this hypothesis test is 1.676.

To test the claim that manufacturing workers in Racine and Kenosha had the same salary as workers across the state, we can conduct a hypothesis test with the following null and alternative hypotheses:

Null hypothesis: The mean weekly salary of manufacturing workers in Racine and Kenosha is equal to $424.20.Alternative hypothesis: The mean weekly salary of manufacturing workers in Racine and Kenosha is different from $424.20.

We can use a t-test for the sample mean to test this hypothesis. At a 90% confidence level, we have a significance level of alpha = 0.10. Since this is a two-tailed test (we are testing for a difference in either direction), we will split the significance level evenly between the two tails, so alpha/2 = 0.05.

We need to calculate the critical value of the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, n = 54, so the degrees of freedom is 53. We can use a t-distribution table or a calculator to find the critical value. For a two-tailed test with alpha/2 = 0.05 and 53 degrees of freedom, the critical value is approximately 1.676.

Therefore, the critical value for this hypothesis test is 1.676.

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Paula works part time ABC Nursery. She makes $5 per hour watering plants and $10 per hour sweeping the nursery. Paula is a full-time student so she cannot work more than 12 hours each week but must make at least $60 per week.
Part A: Write the system of inequalities that models this scenario.

Part B: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.

Answers

The system of inequalities that models this scenario are:

x + y ≤ 12 (she is unable to work more than 12 hours each week)5x + 10y ≥ 60 (she need to make at least $60 per week)

What is the system of inequalities?

Part A: Based on the question, we take x be the number of hours that Paula spends watering plants and also we take y be the number of hours she spends sweeping the nursery. Hence system of inequalities equation will be:

x + y ≤ 12 (she is unable to work more than 12 hours each week)

5x + 10y ≥ 60 (she need to make about $60 per week)

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Carlotta purchased a whole life insurance policy with an annual premium of $780. In the first year, 60% of the annual premium is allocated to the insurance component and 40% to the investment component. The investment earns 2. 2% interest, compounded annually. How much will Carlotta have in the investment portion of her policy after the first year? Round to the nearest cent.



Omg help me please

Answers

After the first year, Carlotta will have $124.80 in the investment portion of her policy.

This is calculated by taking 40% of her annual premium

($780 x 0.40 = $312),

2.2% ($312 x 0.022 = $6.84).

So the total amount in the investment portion is

$312 + $6.84 = $318.84, rounded to the nearest cent, which is $124.80.

The whole life insurance policy that Carlotta purchased has both an insurance component and an investment component. In the first year, 60% of the annual premium is allocated to the insurance component, which means that $468 of her $780 premium goes towards the cost of the insurance.

The remaining 40% is allocated to the investment component, which is what Carlotta will earn interest on.

At a rate of 2.2%, compounded annually, the investment portion of Carlotta's policy earns $6.84 in interest after the first year. This is added to the $312 that was allocated to the investment portion, giving a total of $318.84.

This means that Carlotta has $124.80 in the investment portion of her policy after the first year. It's important to note that this amount will continue to grow over time as Carlotta pays her premiums and earns interest on her investment.

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Please help asap I need this until tmr

Answers

The following table shows the weight of a cat in pounds and the corresponding number of cans of cat food to be given each day.

To complete the table, we need to use the information that the directions on the small cans of cat food say to feed a cat 1 can of food each day for every 4 pounds of body weight.

For example, for a cat weighing 4 pounds, we need to give 1 can of food each day.

For a cat weighing 5 pounds, we need to give more than 1 can but less than 2 cans of food each day.

To find the exact number of cans, we can use the formula:

cans per day = weight in pounds / 4

Substituting the given values, we get:

cans per day = 5 / 4

cans per day = 1.25

Therefore, for a cat weighing 5 pounds, we need to give 1.25 cans of food each day. We can round this to the nearest tenth to get 1.3 cans per day.

Similarly, we can use the formula to complete the rest of the table:

KIT-E-KAT weight in pounds cans per day

4   1

5   1.3

6   1.5

7   1.8

8   2

9   2.3

10  2.5

11   2.8

12  3

13  3.3

14  3.5

15  3.8

Therefore, the completed table shows the weight of a cat in pounds and the corresponding number of cans of cat food to be given each day.

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Write each of teh following expressions without using absolute value.


|y-x|, if y>x

Answers

The expression |y-x| without absolute value is simply: y-x

In mathematics, the absolute value refers to the magnitude or numerical value of a real number without considering its sign. It gives the distance of the number from zero on the number line. The absolute value of a number x is denoted by |x| and is defined as follows:

If x is positive or zero, then |x| = x.

If x is negative, then |x| = -x (the negative sign is removed).

Since y > x, the difference (y-x) will be positive. The absolute value of a positive number is the number itself. Therefore, the expression |y-x| without absolute value is simply: y-x

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Select the proper inverse operation to check the answer to 25
-13=12

Answers

12+13 = 25, therefor the answer is correct

in 2018, coolville, california had a population of 72,000 people. in 2020, the population had dropped to


70,379. city officials expect the population to eventually level off at 60,000.


a. what kind of function would best model the population over time? how do you know?


b. write an equation that models the changing populaion over time.

Answers

a. The function that would best model the population over time is Exponential decay

b. write an equation that models the changing population over time  P(t) = [tex]72,000 * e^(-0.035t)[/tex]

a. Exponential rot (Exponential decay) work would best demonstrate the populace over time.

Usually, the populace has diminished from 72,000 to 70,379 in fair 2 years, which could be a generally brief time period. Also, city authorities anticipate the populace to level off at 60,000, which is a sign of exponential rot.

b. The exponential rot work can be composed as:

P(t) = P0 *[tex]e^(-kt)[/tex]

Where P(t) is the populace at time t, P0 is the starting populace, e is the scientific steady around rise to 2.718, and k is the rot consistent.

Utilizing the given data, able to substitute the values:

P(0) = 72,000 (populace in 2018)

P(2) = 70,379 (populace in 2020)

To illuminate for k, able to utilize the equation:

k = ln(P0/P(t))/t

k = ln(72,000/70,379)/2

k ≈ 0.035

Subsequently, the condition that models the changing populace over time is:

P(t) = [tex]72,000 * e^(-0.035t)[/tex]

where t is the time in a long time since 2018. 

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Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Show your work

City A: {2.5, 3, 6, 1.5, 4, 1}

City B: {4, 7, 3.5, 4, 3.5, 2}

What is the mean monthly rainfall amount for each city?

What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth.

What is the median for each city?

Answers

Hello, I am Alyssa Ann Verrett.

Put the numbers in order:

City A: {2, 3.5, 4, 4, 5, 5.5}

City B: {3.5, 4, 5, 5.5, 6, 6}

a)

The mean monthly rainfall amount for city A: 4 in;

The mean monthly rainfall amount for city B: 5 in;

b)

The MAD monthly rainfall amount for city A: 0.8 in;

The MAD monthly rainfall amount for city B: 0.8 in;

c)

The median monthly rainfall amount for city A: 4 in;

The median monthly rainfall amount for city A: 5.25 in;

Step-by-step explanation:

a) The general definition of mean of a set X is:

mean = (x₁ + x₂ + x₃ + ... xₙ)/n

For City a:

mean = (4+3.5+5+5.5+4+2)/6 = 4

For City b:

mean = (5+6+3.5+5.5+4+6)/6 = 5

b) The general definition of mean absolute deviation of a set X is:

MAD = (|x₁-mean| + |x₂-mean| + |x₃-mean| + ... + |xₙ-mean|)/n

For City a:

MAD = ( |4-4| + |3.5-4| + |5-4| + |5.5-4| + |4-4| + |2-4| )/6 = (0 + 0.5 + 1 + 1.5 + 0 + 2)/6 = 5/6 =0.8

For City b:

MAD = ( |5-5| + |6-5| + |3.5-5| + |5.5-5| + |4-5| + |6-5| )/6 = (0 + 1 + 1.5 + 0.5 + 1 + 1)/6 = 5/6 = 0.8

c) The general definition of median depends on the quantity of elements in the set X and it represents the middlemost value of the set:

When the quantity is odd:

median= x₍ₙ₊₁₎/₂

When the quantity is even:

median= (xₙ/₂ + x ₙ₊₂/₂) /2

For City A:

median = 2, 3.5, 4, 4, 5, 5.5 = (4 + 4) / 2 = 4

For City B:

median = 3.5, 4, 5, 5.5, 6, 6 = (5 + 5.5) / 2 = 5.25

HELP PLEASE!! the function f(x)has a vertical asymptote at x=[blank]

Answers

Answer:

Step-by-step explanation:

Solution: -4

The graph gets closer and closer to the line x=-4 but never touches it.

Let (x) = -x^4 -8x^3 +6x - 2. Find the open intervals on which is concave up (down). Then determine the x-coordinates of all inflection points a f.

Answers

The x-coordinates of all inflection points a f of the function[tex]f(x) = -x^4 - 8x^3 + 6x - 2[/tex]are (-4, f(-4)) and (0, f(0)).

To find the intervals of concavity and the inflection points of the function[tex]f(x) = -x^4 - 8x^3 + 6x - 2,[/tex] we need to find the second derivative and analyze its sign.

First, we find the first derivative:

[tex]f'(x) = -4x^3 - 24x^2 + 6[/tex]

Then, we find the second derivative:

[tex]f''(x) = -12x^2 - 48x[/tex]

To determine the intervals of concavity, we need to find where f''(x) is positive or negative.

[tex]f''(x) = -12x^2 - 48x = -12x(x + 4)[/tex]

f''(x) is negative for x < -4 and x > 0, and positive for -4 < x < 0.

Therefore, the function f(x) is concave down on the intervals (-∞, -4) and (0, ∞), and concave up on the interval (-4, 0).

To find the inflection points, we need to find where the concavity changes. This occurs at x = -4 and x = 0.

At x = -4, the function changes from concave down to concave up. Therefore, (-4, f(-4)) is an inflection point.

At x = 0, the function changes from concave up to concave down. Therefore, (0, f(0)) is also an inflection point.

Thus, the inflection points of f(x) are (-4, f(-4)) and (0, f(0)).

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Find the divergence of vector fields at all points where they are defined
div ( (2x^2 - sin(xz)) i + 5j - (sin (Xz)) k)

Answers

The divergence of vector fields at all points where they are defined ar 4x - 2xcos(xz) for all points in R3.

The divergence of the given vector field F = (2x^2 - sin(xz)) i + 5j - (sin (xz)) k can be found using the formula for divergence:

div(F) = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z)

Here, Fx = (2x² - sin(xz)), Fy = 5, and Fz = -sin(xz). Taking the partial derivatives, we get:

∂Fx/∂x = 4x - zcos(xz)

∂Fy/∂y = 0

∂Fz/∂z = -xcos(xz)

Therefore, the divergence of F is:

div(F) = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z) = 4x - zcos(xz) - xcos(xz) = 4x - 2xcos(xz)

The divergence of F is defined for all points where F is defined, which is the entire 3-dimensional space. So, the divergence of F is 4x - 2xcos(xz) for all points in R3.

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Describe the effect that each transformation
below has on the function (x)= x\,
where a > 0.
g(x) = |x-a|
h(x) = |x|-a

Answers

Graph of g(x) translated right direction and h(x) translated downwards direction with respect to f(x).

The given functions are;

f(x) = |x| where a > 0

g(x) = |x-a|

h(x) = |x|-a

Plot the graph of f(x)

We get vertex point (0, 0)

Now plot the graph of g(x) = |x-a|

This graph is translated towards right direction by a unit with respect to f(x)

Now plot the graph of h(x) = |x|-a

This graph is translated downwards with respect to f(x) by a unit.

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5u–u+3u=14

help! me please

Answers

Answer:

u = 2

Step-by-step explanation:

Consider ABC.

What is the length of AC
A. 32units
B.48units
C.16units
D.24units

Answers

A. 32 Units

Segment GH is known as a mid segment, which is parallel and 1/2 of the segment parallel to it, in this case AC. :)
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